Theorems · Definition · group theory
Finset.neg
{α : Type u_2} → [DecidableEq α] → [Neg α] → Neg (Finset α)The pointwise negation of finset -s is defined as {-x | x ∈ s} in scope Pointwise.
- Cited by
- 63 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqNeg
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finset.imageproof · cited by 910
Cited by63
Results whose statement or proof uses this declaration.
- Finset.card_negstatement · cited by 12
- Finset.mem_neg'statement · cited by 11
- Finset.coe_negstatement · cited by 5
- Finset.card_inter_vaddstatement · cited by 5
- Finset.neg_nonempty_iffstatement · cited by 4
- Finset.card_vadd_interstatement · cited by 3
- Finset.neg_univstatement · cited by 2
- Finset.Nonempty.of_negstatement · cited by 2
- Finset.neg_filterstatement · cited by 2
- Finset.card_inter_vadd_negstatement · cited by 2
- Finset.card_vadd_inter_vaddstatement · cited by 2
- Finset.neg_op_vadd_finset_distribstatement · cited by 1